A new improved ratio-product type exponential estimator of finite population variance using auxiliary information

Muneer, Siraj; Khalil, Alamgir; Shabbir, Javid; Narjis, Ghulam

doi:10.1080/00949655.2018.1504947

Cited by 19 publications

(10 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Motivated by Solanki and Singh [15] and Muneer et al [24], we propose the following class of exponential cum ratio-product type estimators of population median M y as…”

Section: The Proposed Estimatormentioning

confidence: 99%

Efficient Estimation of Population Median Using Supplementary Variable

et al. 2020

Self Cite

View full text Add to dashboard Cite

In this paper, we propose an exponential cum ratio-product type class of estimators for population median under simple random sampling scheme using the supplementary variable. Expressions for bias and mean square error (MS E) are obtained up to first order of approximation. The proposed class of estimators is more efficient as compared to all considered estimators under certain conditions. Four real data sets and simulation studies are carried out to observe the performances of the estimators. Both numerical and simulation studies show that the proposed class of estimators performs better as compared to all considered estimators.

show abstract

“…Motivated by Solanki and Singh [15] and Muneer et al [24], we propose the following class of exponential cum ratio-product type estimators of population median M y as…”

Section: The Proposed Estimatormentioning

confidence: 99%

Efficient Estimation of Population Median Using Supplementary Variable

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…Thus, these datasets are a good realization of the both with and without outlier observation cases. Moreover, these population datasets are frequently used in many studies to compare the performance of various estimators of population mean and variance, see for example, [28,29,33,48,49]…”

Section: Numerical Comparison In Presence Of Outliersmentioning

confidence: 99%

A new improved class of ratio-product type exponential estimators of the population variance

et al. 2020

View full text Add to dashboard Cite

Several auxiliary information-based estimators of the population variance are available in the existing literature of survey sampling. Mostly, these estimators are based on conventional dispersion measures of the auxiliary variable. In this study, a generalized class of ratio-product type exponential estimators of the population variance is proposed which integrates the auxiliary information on non-conventional dispersion measures under simple random sampling in the ratio-type exponential class of estimators. The performance of the proposed estimators is compared, theoretically and numerically, with the several existing estimators of the population variance. It is established that the proposed class of estimators outperforms the existing estimators in terms of the lower mean square and relative root mean square errors. Moreover, the percentage relative efficiency of the proposed estimators is much higher as compared to their counterparts.

show abstract

“…Various types of estimators have been developed in the context of ratio, product and regression estimators for estimating population variance by using the known auxiliary information based on different conventional measures such as mean, median, quartiles, semi-interquartile range, semi-interquartile average, coefficient of skewness, coefficient of kurtosis etc. One can see the work of Isaki [3], Upadhyaya and Singh [4], Kadilar and Cingi [5], Subramani and Kumarapandiyan [6][7][8][9], Khan and Shabbir [10], Hussain and Shabbir [11], Zamanzade and Vock [12], Yaqub and Shabbir [13], Abid, Abbas and Riaz [14], Maqbool and Javaid [15], Adichwal, Sharma and Singh [16], Maji, Singh and Bandyopadhyay [17], Zamanzade and Wang [18], Zamanzade and Mahdizadeh [19], Singh, Pal and Yadav [20], Zamanzade, E and Wang [21], Hussain et al [22], Muneer et al [23], Mahdizadeh and Zamanzade [24], Abid et al [25] and the references cited therein.…”

Section: Introductionmentioning

confidence: 99%

An Improved and Robust Class of Variance Estimator

et al. 2020

View full text Add to dashboard Cite

The ratio, product, and regression estimators are commonly constructed based on conventional measures such as mean, median, quartiles, semi-interquartile range, semiinterquartile average, coefficient of skewness, and coefficient of kurtosis. In case of the presence of outliers, these conventional measures lose their efficiency/performance ability and hence are of less efficient as compared to those measures which performed efficiently in the presence of outliers. This study offers an improved class of estimators for estimating the population variance using robust dispersion measures such as probability-weighted moments, Gini's, Downton's and Bickel and Lehmann measures of an auxiliary variable. Bias, mean square error, and minimum mean square error of the suggested class of estimators have been derived. Application with two natural data sets is also provided to explain the proposal for practical considerations. In addition, a robustness study is also carried out to evaluate the performance of the proposed estimators in the presence of outliers by using environmental protection data. The results reveal that the proposed estimators perform better than their competitors and are robust, not only in simple conditions but also in the presence of outliers.

show abstract

A new improved ratio-product type exponential estimator of finite population variance using auxiliary information

Cited by 19 publications

References 13 publications

Efficient Estimation of Population Median Using Supplementary Variable

Efficient Estimation of Population Median Using Supplementary Variable

A new improved class of ratio-product type exponential estimators of the population variance

An Improved and Robust Class of Variance Estimator

Contact Info

Product

Resources

About